Answer:
Down payment is $43,000
Step-by-step explanation:
If purchase price of anything = $215,000
Down payment = 20% of the price
20% of 215,000
= × 215,000
= 0.20 × 215,000
= $43,000
20% down payment on a purchase price of $215,000 is $43,000.
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mZ3 =
Answer:
Minimum value of is 80 at (1.5,2.5)
Step-by-step explanation:
We are given
The objective function is, Minimize
With the constraints as,
So, upon plotting the constraints, we see that,
The boundary points of the solution region are,
(1,5), (1.5,2.5) and (4,2).
So, the minimum values at these points are,
Points
(1,5) i.e. p = 140
(1.5,2.5) i.e. p= 80
(4,2) i.e. p = 92
Thus, the minimum value of is 80 at (1.5,2.5).
Answer:
x = 1/2 = 0.5
Step-by-step explanation:
We must solve x in the following equation:
–3x + 1 + 10x = x + 4
We'll try to get the terms with x on the left and the independent terms on the right by performing the opposite operations on both sides of the equation:
–3x + 1 + 10x -x = x + 4 -x
–3x + 1 + 10x -x -1 = 4 -1
6x = 3
Now lets isolate x, again by performing the opposite operation, that is dividing by 6 on both sides:
6x /6 = 3/6
x = 1/2 = 0.5
Answer: -0.619
Step-by-step explanation: